Sh:756

• Hyttinen, T., & Shelah, S. (2002). Forcing a Boolean algebra with predesigned automorphism group. Proc. Amer. Math. Soc., 130(10), 2837–2843. arXiv: math/0102044 DOI: 10.1090/S0002-9939-02-06399-2 MR: 1908905
• Abstract:
  For suitable groups G we will show that one can add a Boolean algebra B by forcing in such a way that Aut(B) is almost isomorphic to G. In particular, we will give a positive answer to the following question due to J. Roitman: Is \aleph_{\omega} a possible number of automorphisms of a rich Boolean algebra?
• Version 2001-05-30_10 (8p) published version (7p)

@article{Sh:756,
 author = {Hyttinen, Tapani and Shelah, Saharon},
 title = {{Forcing a Boolean algebra with predesigned automorphism group}},
 journal = {Proc. Amer. Math. Soc.},
 fjournal = {Proceedings of the American Mathematical Society},
 volume = {130},
 number = {10},
 year = {2002},
 pages = {2837--2843},
 issn = {0002-9939},
 mrnumber = {1908905},
 mrclass = {06E05 (03E35)},
 doi = {10.1090/S0002-9939-02-06399-2},
 note = {\href{https://arxiv.org/abs/math/0102044}{arXiv: math/0102044}},
 arxiv_number = {math/0102044}
}